OK, Young person, here is the question:
In the top 40 rankings of men tennis players, what is the probability that at least 3 of them share the same birthday(the same day of the year?) Your answer must be accurate to 3 decimal places. You must give the method used in your calculation. Good luck to all.
According to Wolfram|Alpha, the probability that at least 3 people have the same birthday is 0.06689
In the top 40 rankings of men tennis players, what is the probability that at least 3 of them share the same birthday(the same day of the year?) Your answer must be accurate to 3 decimal places. You must give the method used in your calculation. Good luck to all.
This is what Wolfram|alpha has to say
I also found some formuals here
http://math.stackexchange.com/questions/25876/probability-of-3-people-in-a-room-of-30-having-the-same-birthday
I have not looked very hard at the formulas but i doubt that their derivation is trivial.
They may well be valid but to use them without understanding is no better than to just cut and past a page from Wolfram|Alpha. (Unless you want to use it for computer output or something. Of course Wolfram Alpha has generated its answers from formulas in the first place)